7(n-6)-(3-2n)=8n

Solution for 7(n-6)-(3-2n)=8n equation:

Simplifying
7(n + -6) + -1(3 + -2n) = 8n

Reorder the terms:
7(-6 + n) + -1(3 + -2n) = 8n
(-6 * 7 + n * 7) + -1(3 + -2n) = 8n
(-42 + 7n) + -1(3 + -2n) = 8n
-42 + 7n + (3 * -1 + -2n * -1) = 8n
-42 + 7n + (-3 + 2n) = 8n

Reorder the terms:
-42 + -3 + 7n + 2n = 8n

Combine like terms: -42 + -3 = -45
-45 + 7n + 2n = 8n

Combine like terms: 7n + 2n = 9n
-45 + 9n = 8n

Solving
-45 + 9n = 8n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-8n' to each side of the equation.
-45 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-45 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-45 + 1n = 0

Add '45' to each side of the equation.
-45 + 45 + 1n = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 1n = 0 + 45
1n = 0 + 45

Combine like terms: 0 + 45 = 45
1n = 45

Divide each side by '1'.
n = 45

Simplifying
n = 45